Gerstenhaber algebra and Deligne’s conjecture on the Tate–Hochschild cohomology

DOI10.1090/tran/7886zbMath1484.13038arXiv1801.07990OpenAlexW2962700887WikidataQ113822476 ScholiaQ113822476MaRDI QIDQ4992368

Zhengfang Wang

Publication date: 8 June 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07990

zbMATH Keywords

Deligne's conjectureGerstenhaber algebraBatalin-Vilkovisky algebraTate-Hochschild cohomology\(B_\infty\)-algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Derived categories, triangulated categories (18G80)

Related Items (11)

Tate-Hochschild cohomology rings for eventually periodic Gorenstein algebras ⋮ The normalized cochain complex of a nonsymmetric cyclic operad with multiplication is a Quesney homotopy BV algebra ⋮ Characterization of eventually periodic modules in the singularity categories ⋮ On the cup product of singular Hochschild cohomology ⋮ Hochschild (co)homology and derived categories ⋮ Invariance of the Goresky–Hingston algebra on reduced Hochschild homology ⋮ A B-infinity algebra structure of singular Hochschild complex ⋮ The dg Leavitt algebra, singular Yoneda category and singularity category ⋮ String topology in three flavors ⋮ Stable invariance of the restricted Lie algebra structure of Hochschild cohomology ⋮ Tate-Hochschild cohomology of radical square zero algebras

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